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Finding the Fourth Proportional to 305,562.80, 421,727.40 and 178,238.48

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Solution

The fourth proportional to 305,562.80, 421,727.40 and 178,238.48 is: 245,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,562.80 : 421,727.40 = 178,238.48 : x
  2. Step 2: Convert to fraction form
    305,562.80/421,727.40 = 178,238.48/x
  3. Step 3: Cross multiply
    305,562.80x = 421,727.40 × 178,238.48
  4. Step 4: Simplify right side
    305,562.80x = 75,168,050,750.35
  5. Step 5: Solve for x
    x = 75,168,050,750.35/305,562.80
  6. Step 6: Final answer
    x = 245,998.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.